2(x+4)=5-(x-10)

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Solution for 2(x+4)=5-(x-10) equation: 


Simplifying
2(x + 4) = 5 + -1(x + -10)

Reorder the terms:
2(4 + x) = 5 + -1(x + -10)
(4 * 2 + x * 2) = 5 + -1(x + -10)
(8 + 2x) = 5 + -1(x + -10)

Reorder the terms:
8 + 2x = 5 + -1(-10 + x)
8 + 2x = 5 + (-10 * -1 + x * -1)
8 + 2x = 5 + (10 + -1x)

Combine like terms: 5 + 10 = 15
8 + 2x = 15 + -1x

Solving
8 + 2x = 15 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
8 + 2x + x = 15 + -1x + x

Combine like terms: 2x + x = 3x
8 + 3x = 15 + -1x + x

Combine like terms: -1x + x = 0
8 + 3x = 15 + 0
8 + 3x = 15

Add '-8' to each side of the equation.
8 + -8 + 3x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 15 + -8
3x = 15 + -8

Combine like terms: 15 + -8 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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